Search a number
-
+
200233300311000 = 2332531119929993389
BaseRepresentation
bin101101100001110001110010…
…101111001011101111011000
3222020222010010222022211000200
4231201301302233023233120
5202221110244334423000
61545505524104502200
760114243562246365
oct5541616257135730
9866863128284020
10200233300311000
1158889513a55030
121a55a67b17a960
138795bc4633b98
1437634b45ab46c
1518237dac52500
hexb61c72bcbbd8

200233300311000 has 768 divisors, whose sum is σ = 742491360000000. Its totient is φ = 48267128448000.

The previous prime is 200233300310941. The next prime is 200233300311007. The reversal of 200233300311000 is 113003332002.

200233300311000 is a `hidden beast` number, since 2 + 0 + 0 + 23 + 330 + 0 + 311 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×2002333003110002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200233300311007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59083297306 + ... + 59083300694.

It is an arithmetic number, because the mean of its divisors is an integer number (966785625000).

Almost surely, 2200233300311000 is an apocalyptic number.

200233300311000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200233300311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371245680000000).

200233300311000 is an abundant number, since it is smaller than the sum of its proper divisors (542258059689000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200233300311000 is a wasteful number, since it uses less digits than its factorization.

200233300311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625 (or 6608 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 200233300311000 its reverse (113003332002), we get a palindrome (200346303643002).

The spelling of 200233300311000 in words is "two hundred trillion, two hundred thirty-three billion, three hundred million, three hundred eleven thousand".